We study a family of convolution operators whose kernels have a singularity on the light-cone in $\mathbb{R}^{n+1}$. As a result, we prove a desired ${\bf L}^p\to {\bf L}^q$ norm inequality.
Fractional integration with singularity on Light-cone,I: natural setting
Fractional integration with singularity on Light-cone, II: critical index
Fractional integration of summable functions: Maz'ya's $Φ$-inequalities
![QR code for arXiv:2202.13584 [math.CA]](http://oss.arxitics.com/images/favicon.svg)